Answer
$2\sqrt[3]{4}$
Work Step by Step
Getting the perfect factors and then extracting its root, the simplified form of the given expression, $
\sqrt[3]{32}
,$ is
\begin{array}{l}\require{cancel}
\sqrt[3]{8\cdot4}
\\\\=
\sqrt[3]{(2)^3\cdot4}
\\\\=
2\sqrt[3]{4}
.\end{array}